Consider the following function. f(x) = ln(1 + 2x), a = 3, n = 3, 2.5 ≤ x ≤ 3.5

T3(x)= ln(7)+2/7(x-3)-4/98(x-3)²+16/2058(x-3)³

Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ≈ Tn(x) when x lies in the given interval. (Round your answer to six decimal places.) |

R3(x)| ≤